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80225520 = 24353141263
BaseRepresentation
bin1001100100000…
…10010011110000
312120221212201120
410302002103300
5131014204040
611543302240
71662622434
oct462022360
9176855646
1080225520
1141315691
1222a4a980
131380bc2b
14a9249c4
15709a7d0
hex4c824f0

80225520 has 160 divisors (see below), whose sum is σ = 263983104. Its totient is φ = 20121600.

The previous prime is 80225507. The next prime is 80225521. The reversal of 80225520 is 2552208.

It is a super-2 number, since 2×802255202 = 12872268118540800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80225521) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 304909 + ... + 305171.

Almost surely, 280225520 is an apocalyptic number.

80225520 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80225520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (131991552).

80225520 is an abundant number, since it is smaller than the sum of its proper divisors (183757584).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80225520 is a wasteful number, since it uses less digits than its factorization.

80225520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 351 (or 345 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 80225520 is about 8956.8699890084. The cubic root of 80225520 is about 431.2914482321.

Adding to 80225520 its reverse (2552208), we get a palindrome (82777728).

The spelling of 80225520 in words is "eighty million, two hundred twenty-five thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 41 48 60 62 80 82 93 120 123 124 155 164 186 205 240 246 248 263 310 328 372 410 465 492 496 526 615 620 656 744 789 820 930 984 1052 1230 1240 1271 1315 1488 1578 1640 1860 1968 2104 2460 2480 2542 2630 3156 3280 3720 3813 3945 4208 4920 5084 5260 6312 6355 7440 7626 7890 8153 9840 10168 10520 10783 12624 12710 15252 15780 16306 19065 20336 21040 21566 24459 25420 30504 31560 32349 32612 38130 40765 43132 48918 50840 53915 61008 63120 64698 65224 76260 81530 86264 97836 101680 107830 122295 129396 130448 152520 161745 163060 172528 195672 215660 244590 258792 305040 323490 326120 334273 391344 431320 489180 517584 646980 652240 668546 862640 978360 1002819 1293960 1337092 1671365 1956720 2005638 2587920 2674184 3342730 4011276 5014095 5348368 6685460 8022552 10028190 13370920 16045104 20056380 26741840 40112760 80225520